11122110102000 has 640 divisors, whose sum is σ = 38171439371520. Its totient is φ = 2781542400000.

The previous prime is 11122110101957. The next prime is 11122110102007. The reversal of 11122110102000 is 20101122111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122110102007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 931416030 + ... + 931427970.

It is an arithmetic number, because the mean of its divisors is an integer number (59642874018).

Almost surely, 2^{11122110102000} is an apocalyptic number.

11122110102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122110102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19085719685760).

11122110102000 is an abundant number, since it is smaller than the sum of its proper divisors (27049329269520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11122110102000 is a wasteful number, since it uses less digits than its factorization.

11122110102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12150 (or 12134 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11122110102000 its reverse (20101122111), we get a palindrome (11142211224111).

The spelling of 11122110102000 in words is "eleven trillion, one hundred twenty-two billion, one hundred ten million, one hundred two thousand".